PrimitiveFactorCount on BinaryWord
The distinct nonempty factors that are not a power of a shorter word.
FindStat's St001838.
Called as CombinatorialStat(x, "PrimitiveFactorCount"). The head's page has its examples.
Live
Distribution
Over BinaryWords at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St001838
The number of nonempty primitive factors of a binary word.
| Object | Value |
|---|---|
0 | 1 |
1 | 1 |
00 | 1 |
01 | 3 |
10 | 3 |
11 | 1 |
000 | 1 |
001 | 4 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001838 has the rest.